How to get the perimeter of a parallelogram?

Understand the Problem

The question is asking for the method to calculate the perimeter of a parallelogram, which requires knowledge of its geometric properties. The perimeter can be found by summing the lengths of all sides, or specifically, by the formula: Perimeter = 2 * (base + height).

Answer

2(a + b)
Answer for screen readers

The final answer is 2(a + b)

Steps to Solve

  1. Identify the side lengths of the parallelogram

A parallelogram has two pairs of parallel sides. Let the lengths of the pairs be ( a ) and ( b ).

  1. Use the perimeter formula

The perimeter ( P ) of a parallelogram is calculated using the formula:

$$ P = 2(a + b) $$

  1. Substitute the side lengths into the formula

If you know the values of ( a ) and ( b ), substitute them into the formula to find the perimeter:

$$ P = 2(a + b) $$

For example, if ( a = 5 ) units and ( b = 10 ) units, then:

$$ P = 2(5 + 10) = 2 \times 15 = 30 $$ units

The final answer is 2(a + b)

More Information

The perimeter formula reflects the fact that opposite sides of a parallelogram are equal in length.

Tips

A common mistake is confusing the formula for the perimeter of a parallelogram with the formula for its area. Remember, the area is (base \times height), and the perimeter is the sum of the lengths of the sides.

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